{"id":"https://openalex.org/W4367155876","doi":"https://doi.org/10.1007/978-3-031-30445-3_16","title":"Some Remarks on\u00a0Super-Gram Operators for\u00a0General Bipartite Quantum States","display_name":"Some Remarks on\u00a0Super-Gram Operators for\u00a0General Bipartite Quantum States","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4367155876","doi":"https://doi.org/10.1007/978-3-031-30445-3_16"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-30445-3_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-30445-3_16","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012462187","display_name":"Roman Gielerak","orcid":"https://orcid.org/0000-0001-8657-0829"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Roman Gielerak","raw_affiliation_strings":["Institute of Control and Computation Engineering, University of Zielona G\u00f3ra, Licealna 9, 65-417, Zielona G\u00f3ra, Poland"],"raw_orcid":"https://orcid.org/0000-0001-8657-0829","affiliations":[{"raw_affiliation_string":"Institute of Control and Computation Engineering, University of Zielona G\u00f3ra, Licealna 9, 65-417, Zielona G\u00f3ra, Poland","institution_ids":["https://openalex.org/I46305939"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024838422","display_name":"Marek Sawerwain","orcid":"https://orcid.org/0000-0001-8468-2456"},"institutions":[{"id":"https://openalex.org/I46305939","display_name":"University of Zielona G\u00f3ra","ror":"https://ror.org/04fzm7v55","country_code":"PL","type":"education","lineage":["https://openalex.org/I46305939"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Marek Sawerwain","raw_affiliation_strings":["Institute of Control and Computation Engineering, University of Zielona G\u00f3ra, Licealna 9, 65-417, Zielona G\u00f3ra, Poland"],"raw_orcid":"https://orcid.org/0000-0001-8468-2456","affiliations":[{"raw_affiliation_string":"Institute of Control and Computation Engineering, University of Zielona G\u00f3ra, Licealna 9, 65-417, Zielona G\u00f3ra, Poland","institution_ids":["https://openalex.org/I46305939"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024838422"],"corresponding_institution_ids":["https://openalex.org/I46305939"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.2178,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.39002679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"187","last_page":"198"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.76131272315979},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6646584868431091},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.65696781873703},{"id":"https://openalex.org/keywords/gramian-matrix","display_name":"Gramian matrix","score":0.6165830492973328},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.5826897621154785},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.46553364396095276},{"id":"https://openalex.org/keywords/gram","display_name":"Gram","score":0.4612160921096802},{"id":"https://openalex.org/keywords/povm","display_name":"POVM","score":0.4243854284286499},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4131869375705719},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3457351326942444},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3401743173599243},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3319547772407532},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.31589898467063904},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.26097044348716736},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1588250994682312},{"id":"https://openalex.org/keywords/open-quantum-system","display_name":"Open quantum system","score":0.14429998397827148},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.09739223122596741},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.06064686179161072}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.76131272315979},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6646584868431091},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.65696781873703},{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.6165830492973328},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.5826897621154785},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46553364396095276},{"id":"https://openalex.org/C161369605","wikidata":"https://www.wikidata.org/wiki/Q41803","display_name":"Gram","level":3,"score":0.4612160921096802},{"id":"https://openalex.org/C179957908","wikidata":"https://www.wikidata.org/wiki/Q907206","display_name":"POVM","level":5,"score":0.4243854284286499},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4131869375705719},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3457351326942444},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3401743173599243},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3319547772407532},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.31589898467063904},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.26097044348716736},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1588250994682312},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.14429998397827148},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.09739223122596741},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.06064686179161072},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C523546767","wikidata":"https://www.wikidata.org/wiki/Q10876","display_name":"Bacteria","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-30445-3_16","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-30445-3_16","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W32507011","https://openalex.org/W1617404992","https://openalex.org/W2015811642","https://openalex.org/W2084652510","https://openalex.org/W2094271988","https://openalex.org/W2142537581","https://openalex.org/W2268223243","https://openalex.org/W2479152214","https://openalex.org/W2797361743","https://openalex.org/W2888801391","https://openalex.org/W2902292863","https://openalex.org/W2951663210","https://openalex.org/W3023478445","https://openalex.org/W3037737784","https://openalex.org/W3101717749","https://openalex.org/W3126603715","https://openalex.org/W3164436820","https://openalex.org/W3168381099","https://openalex.org/W3180044541","https://openalex.org/W4210453770","https://openalex.org/W4289912942","https://openalex.org/W4301410061","https://openalex.org/W4310001488","https://openalex.org/W4390304832"],"related_works":["https://openalex.org/W2361652711","https://openalex.org/W262149800","https://openalex.org/W2790582133","https://openalex.org/W3106284467","https://openalex.org/W2745280614","https://openalex.org/W2399005400","https://openalex.org/W2809687822","https://openalex.org/W4309534894","https://openalex.org/W1910041226","https://openalex.org/W1671747664"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}